Question 699698: If I am standing 36 feet from a circular swimming pool and the distance from me to the point of tangency is 48 feet, what is the radius?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! If I am standing 36 feet from a circular swimming pool and the distance from me to the point of tangency is 48 feet, what is the radius?
:
A right triangle is formed: a^2 + b^2 = c^2
one side a, the radius, center to point of tangency
one side b, 48 ft, observer to point of tangency
one side c, (r+36), observer to center (hypotenuse)
:
r^2 + 48^2 = (r+36)^2
r^2 + 2304 = r^2 + 72r + 1296
2304 - 1296 = r^2 - r^2 + 72r
1008 = 72r
r = 1008/72
r = 14 ft is the radius of the pool
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